Question

Rotate point B about point F 288 degrees clockwise

Answer 1

When a shape is rotated, it must be rotated through a point

The new position of point B is point A

The angle of rotation is given as:

$Angle = 288^o$

The shape is a regular pentagon (with 5 sides).

The smallest angle of rotation that maps the pentagon onto itself is calculated using:

$\theta = \frac{360}n$

So, we have:

$\theta = \frac{360}5$

$\theta = 72$

Let the number of rotations be n.

So, we have:

$\theta \times n= Angle$

This gives

$72 \times n= 288$

Divide both sides by 72

$n= 4$

This means that the new position of B is 4 points away from B.

Point A is 4 points away from B, in clockwise direction

Hence, the new position of point B is point A

Read more about rotation at:

brainly.com/question/2283733